Refined vorticity statistics of decaying rotating three-dimensional turbulence
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The influence of background rotation on all nontrivial triple correlations of vorticity (VTCs) has been studied for an unbounded incompressible homogeneous turbulent flow, using pseudo-spectral direct numerical simulation. It is found that the time evolutions of the VTCs are in agreement with exact theoretical predictions for rotating turbulence presented herein. Furthermore, the effects of viscosity, initial value of the velocity derivative skewness S∂i u i (t ini), and background rotation rate on the vertical vorticity skewness Sω 3 have been thoroughly investigated. The initial growth rate of Sω3 is found to be proportional to t 0.75±0.1 for all considered cases, in agreement with recent experimental results by Morize et al. [Phys. Fluids 17, 095105 (2005)]. Also, it is found that higher background rotation rates — implying more linearity — result in lower final values of Sω3, while lower viscosities and higher S∂i u i (t ini) both yield higher final values of Sω3.
KeywordsLarge Eddy Simulation Direct Numerical Simulation Rossby Number Triple Correlation Rapid Distortion Theory
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